Let f(z) = u(x,y) + i v(x,y) be an analytic function with z = x + iy and i = v-1. Given u(x,y) = xy a. Find v(x,y).Assume any integration constant to be zero. b. Express f(z) in terms of z and its complex conjugate z.
Let f(z) = u(x,y) + i v(x,y) be an analytic function with z = x + iy and i = v-1. Given u(x,y) = xy a. Find v(x,y).Assume any integration constant to be zero. b. Express f(z) in terms of z and its complex conjugate z.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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